Question

The quotient of 15 and 2 more than x is 3. Find x.

Answer 1

x = 3

Explanation:

So let's convert the words into mathematical expressions:

"2 more than x" can be written as 2 + x.

"quotient of 15 and 2 more than x" can be written as
`(15)/(2+x)` .

"is 3" means = 3.

Putting it all together:

`(15)/(2+x)=3`

Multiplying both sides by 2 + x:

15 = 3 * (2 + x) = 6 + 3x

We combine like terms to solve for x:

3x = 15 - 6 = 9

x = 9/3 = 3

Thus, the answer is x = 3.

Hope this helps!